16100lectre36_cj

# 16100lectre36_cj - Subsonic Small Disturbance Potential...

This preview shows pages 1–2. Sign up to view the full content.

Subsonic Small Disturbance Potential Flow 1. j v i u V V v v v ˆ ) ˆ ( + + = where 1 | ˆ ˆ | 2 2 2 << + V v u 2. = + φ ˆ ˆ ˆ ˆ j v i u v v perturbation potential y v x u = = ˆ ˆ ˆ ˆ 3. small-disturbance (?) and bc’s= 0 ˆ ˆ ) 1 ( 2 2 2 2 2 = + y x M BC: ) ( ) 0 , ( ˆ x dx dy V x v c = where = c y camber line Note: this eqn and bc are valid for subsonic and supersonic flow. Also note , = = V u q p p C u p ˆ 2 4. For subsonic flow, we utilize the following mathematical transformation: Define: 2 1 = M β η ξ ˆ = = = y x ) ( ) 0 , ( 0 2 2 2 2 dx dy V c = = + The implications are that the subsonic compressible flow around an airfoil can be related to the incompressible ) 0 ( = M flow about the airfoil. small disturbances are assumed Same eqn Same bc 0 = M 0 ˆ ˆ 2 2 2

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 11/06/2011 for the course AERO 100 taught by Professor Willcox during the Fall '03 term at MIT.

### Page1 / 2

16100lectre36_cj - Subsonic Small Disturbance Potential...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online